2012151445344 has 72 divisors (see below), whose sum is σ = 5723110247400. Its totient is φ = 670593535488.

The previous prime is 2012151445319. The next prime is 2012151445349. The reversal of 2012151445344 is 4435441512102.

2012151445344 is a `hidden beast` number, since 2 + 0 + 12 + 151 + 4 + 453 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2012151445299 and 2012151445308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012151445349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928219 + ... + 2210405.

It is an arithmetic number, because the mean of its divisors is an integer number (79487642325).

Almost surely, 2^{2012151445344} is an apocalyptic number.

2012151445344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012151445344 is an abundant number, since it is smaller than the sum of its proper divisors (3710958802056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012151445344 is a wasteful number, since it uses less digits than its factorization.

2012151445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287652 (or 1287641 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2012151445344 its reverse (4435441512102), we get a palindrome (6447592957446).

The spelling of 2012151445344 in words is "two trillion, twelve billion, one hundred fifty-one million, four hundred forty-five thousand, three hundred forty-four".